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We present a theoretical framework for the linear and nonlinear visco-elastic properties of reversibly crosslinked networks of semiflexible polymers. In contrast to affine models where network strain couples to the polymer end-to-end…

Soft Condensed Matter · Physics 2016-07-06 Jan Plagge , Andreas Fischer , Claus Heussinger

Bundles of polymer filaments are responsible for the rich and unique mechanical behaviors of many biomaterials, including cells and extracellular matrices. In fibrin biopolymers, whose nonlinear elastic properties are crucial for normal…

Motivated by recent experiments showing nonlinear elasticity of in vitro networks of the biopolymer actin cross-linked with filamin, we present an effective medium theory of flexibly cross-linked stiff polymer networks. We model such…

Soft Condensed Matter · Physics 2008-10-19 C. P. Broedersz , C. Storm , F. C. MacKintosh

Here, we provide an overview of theoretical approaches to semiflexible polymers and their networks. Such semiflexible polymers have large bending rigidities that can compete with the entropic tendency of a chain to crumple up into a random…

Soft Condensed Matter · Physics 2016-05-25 Chase P. Broedersz , Fred. C. MacKintosh

Networks of filamentous proteins play a crucial role in cell mechanics. These cytoskeletal networks, together with various crosslinking and other associated proteins largely determine the (visco)elastic response of cells. In this letter we…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. A. Head , A. J. Levine , F. C. MacKintosh

The semiflexible F-actin network of the cytoskeleton is cross-linked by a variety of proteins including filamin, which contain Ig-domains that unfold under applied tension. We examine a simple semiflexible network model cross-linked by such…

Soft Condensed Matter · Physics 2009-11-11 B. A. DiDonna , Alex J. Levine

The cytoskeleton is an inhomogeneous network of semi-flexible filaments, which are involved in a wide variety of active biological processes. Although the cytoskeletal filaments can be very stiff and embedded in a dense and cross-linked…

Biological Physics · Physics 2019-05-24 Ines Weber , Cécile Appert-Rolland , Grégory Schehr , Ludger Santen

We develop a model for gels and entangled solutions of semiflexible biopolymers such as F-actin. Such networks play a crucial structural role in the cytoskeleton of cells. We show that the rheologic properties of these networks can result…

Condensed Matter · Physics 2009-10-28 F. C. MacKintosh , J. Kas , P. A. Janmey

Inspired by the ubiquity of composite filamentous networks in nature we investigate models of biopolymer networks that consist of interconnected floppy and stiff filaments. Numerical simulations carried out in three dimensions allow us to…

Biomolecules · Quantitative Biology 2015-05-19 Elisabeth M. Huisman , Claus Heussinger , Cornelis Storm , Gerard T. Barkema

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

Semiflexible polymers such as filamentous actin play a vital role in the mechanical behavior of cells, yet the basic properties of cross-linked F-actin networks remain poorly understood. To address this issue, we have performed numerical…

Soft Condensed Matter · Physics 2009-11-10 D. A. Head , A. J. Levine , F. C. MacKintosh

We study the mechanical stiffening behavior in two-dimensional (2D) cross-linked networks of semiflexible biopolymer filaments under simple shear. Filamental constituents immersed in a fluid undergo thermally excited bending motions.…

Biological Physics · Physics 2007-05-23 T. Van Dillen , P. R. Onck , E. Van der Giessen

We image semi-flexible polymer networks under shear at the micrometer scale. By tracking embedded probe particles, we determine the local strain field, and directly measure its uniformity, or degree of affineness, on scales of 2-100 micron.…

Soft Condensed Matter · Physics 2009-11-13 J. Liu , G. H. Koenderink , K. E. Kasza , F. C. MacKintosh , D. A. Weitz

Disordered filamentous networks with compliant crosslinks exhibit a low linear elastic shear modulus at small strains, but stiffen dramatically at high strains. Experiments have shown that the elastic modulus can increase by up to three…

Biological Physics · Physics 2015-01-06 Knut M. Heidemann , Abhinav Sharma , Florian Rehfeldt , Christoph F. Schmidt , Max Wardetzky

Recent experiments have demonstrated that the nonlinear elasticity of in vitro networks of the biopolymer actin is dramatically altered in the presence of a flexible cross-linker such as the abundant cytoskeletal protein filamin. The basic…

Soft Condensed Matter · Physics 2015-05-13 C. P. Broedersz , C. Storm , F. C. MacKintosh

Semiflexible polymers form central structures in biological material. Modeling approaches usually neglect influences of polymer-specific molecular features aiming to describe semiflexible polymers universally. Here, we investigate the…

We review the physical properties of macromolecular networks, consisting of semiflexible polymers such as actin. We start by giving a theoretical analysis of the conformational statistics and mechanical response of single filaments.…

Soft Condensed Matter · Physics 2008-02-03 Erwin Frey , Klaus Kroy , Jan Wilhelm , Erich Sackmann

The actin cytoskeleton in living cells has many types of crosslinkers. The mechanical interplay between these different crosslinker types is an open issue in cytoskeletal mechanics. We develop a framework to study the cooperativity and…

Soft Condensed Matter · Physics 2015-05-28 Moumita Das , D. A. Quint , J. M. Schwarz

We report on the nonlinear mechanical properties of a statistically homogeneous, isotropic semiflexible network cross-linked by polymers containing numerous small unfolding domains, such as the ubiquitous F-actin cross-linker Filamin. We…

Soft Condensed Matter · Physics 2013-05-29 B. A. DiDonna , Alex J. Levine

Mesh-like structures, such as mucus gel or cytoskeleton networks, are ubiquitous in biological systems. These intricate structures are composed of cross-linked, semi-flexible bio-filaments, crucial to numerous biological processes. In many…

Soft Condensed Matter · Physics 2024-01-10 Yeongjin Kim , Won Kyu Kim , Jae-Hyung Jeon
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